6x² - 2x +8+3x² +7x-2

9x^2 + 5x + 6

Step-by-step explanation:

6•(x2))-2x)+8)+3x2)+7x)-2

Equation at the end of step  2  :

 2•3x2) -  2x) +  8) +  3x2) +  7x) -  2

Trying to factor by splitting the middle term

3.1     Factoring  9x2+5x+6

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +6

Multiply the coefficient of the first term by the constant   9 • 6 = 54

Find two factors of  54  whose sum equals the coefficient of the middle term, which is   5 .

     -54    +    -1    =    -55

     -27    +    -2    =    -29

     -18    +    -3    =    -21

     -9    +    -6    =    -15

     -6    +    -9    =    -15

     -3    +    -18    =    -21

     -2    +    -27    =    -29

     -1    +    -54    =    -55

     1    +    54    =    55

     2    +    27    =    29

     3    +    18    =    21

     6    +    9    =    15

     9    +    6    =    15

     18    +    3    =    21

     27    +    2    =    29

     54    +    1    =    55

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 9x^2 + 5x + 6

Processing ends successfully

since both sides equal, there are infinitely many olutions.

c-4 is the final answer! : )